What is the Least Common Multiple of 12084 and 12102?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 12084 and 12102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12084 and 12102, than apply into the LCM equation.

GCF(12084,12102) = 6
LCM(12084,12102) = ( 12084 × 12102) / 6
LCM(12084,12102) = 146240568 / 6
LCM(12084,12102) = 24373428

Least Common Multiple (LCM) of 12084 and 12102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12084 and 12102. First we will calculate the prime factors of 12084 and 12102.

Prime Factorization of 12084

Prime Factorization of 12102

Now multiplying the highest exponent prime factors to calculate the LCM of 12084 and 12102.

LCM(12084,12102) = 2² × 3¹ × 19¹ × 53¹ × 2017¹
LCM(12084,12102) = 24373428